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Finding the Fourth Proportional to 102,816.49, 154,227.77 and 27,936.24

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Solution

The fourth proportional to 102,816.49, 154,227.77 and 27,936.24 is: 41,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,816.49 : 154,227.77 = 27,936.24 : x
  2. Step 2: Convert to fraction form
    102,816.49/154,227.77 = 27,936.24/x
  3. Step 3: Cross multiply
    102,816.49x = 154,227.77 × 27,936.24
  4. Step 4: Simplify right side
    102,816.49x = 4,308,543,997.38
  5. Step 5: Solve for x
    x = 4,308,543,997.38/102,816.49
  6. Step 6: Final answer
    x = 41,905.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.